45150257376 has 216 divisors, whose sum is σ = 149753462040. Its totient is φ = 12865982976.

The previous prime is 45150257371. The next prime is 45150257389. The reversal of 45150257376 is 67375205154.

It is a happy number.

45150257376 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 0 + 2 + 573 + 76 = 666.

It is a super-2 number, since 2×45150257376² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45150257371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5598435 + ... + 5606493.

It is an arithmetic number, because the mean of its divisors is an integer number (693303065).

Almost surely, 2^45150257376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45150257376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74876731020).

45150257376 is an abundant number, since it is smaller than the sum of its proper divisors (104603204664).

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

45150257376 is a wasteful number, since it uses less digits than its factorization.

45150257376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8486 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 45150257376 in words is "forty-five billion, one hundred fifty million, two hundred fifty-seven thousand, three hundred seventy-six".