45195812640 has 288 divisors, whose sum is σ = 173681044992. Its totient is φ = 10603008000.

The previous prime is 45195812603. The next prime is 45195812653. The reversal of 45195812640 is 4621859154.

45195812640 is a `hidden beast` number, since 4 + 5 + 1 + 9 + 581 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45195812640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445020 + ... + 537060.

It is an arithmetic number, because the mean of its divisors is an integer number (603059184).

Almost surely, 2^45195812640 is an apocalyptic number.

45195812640 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 45195812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86840522496).

45195812640 is an abundant number, since it is smaller than the sum of its proper divisors (128485232352).

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

45195812640 is a wasteful number, since it uses less digits than its factorization.

45195812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92104 (or 92093 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 45195812640 in words is "forty-five billion, one hundred ninety-five million, eight hundred twelve thousand, six hundred forty".