45974602080 has 960 divisors, whose sum is σ = 186312462336. Its totient is φ = 10575360000.

The previous prime is 45974602073. The next prime is 45974602109. The reversal of 45974602080 is 8020647954.

It is a happy number.

45974602080 is a `hidden beast` number, since 4 + 5 + 97 + 460 + 20 + 80 = 666.

It is a super-2 number, since 2×45974602080² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 446355309 + ... + 446355411.

Almost surely, 2^45974602080 is an apocalyptic number.

45974602080 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 45974602080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93156231168).

45974602080 is an abundant number, since it is smaller than the sum of its proper divisors (140337860256).

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

45974602080 is a wasteful number, since it uses less digits than its factorization.

45974602080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45974602080 in words is "forty-five billion, nine hundred seventy-four million, six hundred two thousand, eighty".