45402552000 has 1792 divisors, whose sum is σ = 202367692800. Its totient is φ = 9853747200.

The previous prime is 45402551947. The next prime is 45402552007. The reversal of 45402552000 is 25520454.

45402552000 is a `hidden beast` number, since 4 + 5 + 402 + 55 + 200 + 0 = 666.

It is a super-2 number, since 2×45402552000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45402552007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1227095982 + ... + 1227096018.

It is an arithmetic number, because the mean of its divisors is an integer number (112928400).

Almost surely, 2^45402552000 is an apocalyptic number.

45402552000 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 45402552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101183846400).

45402552000 is an abundant number, since it is smaller than the sum of its proper divisors (156965140800).

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

45402552000 is a wasteful number, since it uses less digits than its factorization.

45402552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 45402552000 in words is "forty-five billion, four hundred two million, five hundred fifty-two thousand".