45051383520 has 1344 divisors, whose sum is σ = 195180560064. Its totient is φ = 9674588160.

The previous prime is 45051383501. The next prime is 45051383527. The reversal of 45051383520 is 2538315054.

45051383520 is a `hidden beast` number, since 4 + 5 + 0 + 51 + 3 + 83 + 520 = 666.

45051383520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45051383520² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45051383527) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 617142204 + ... + 617142276.

It is an arithmetic number, because the mean of its divisors is an integer number (145223631).

Almost surely, 2^45051383520 is an apocalyptic number.

45051383520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45051383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97590280032).

45051383520 is an abundant number, since it is smaller than the sum of its proper divisors (150129176544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45051383520 is a wasteful number, since it uses less digits than its factorization.

45051383520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 45051383520 its reverse (2538315054), we get a palindrome (47589698574).

The spelling of 45051383520 in words is "forty-five billion, fifty-one million, three hundred eighty-three thousand, five hundred twenty".