45151097599296 has 840 divisors, whose sum is σ = 147141442413504. Its totient is φ = 13682236538880.

The previous prime is 45151097599273. The next prime is 45151097599297. The reversal of 45151097599296 is 69299579015154.

45151097599296 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 1 + 0 + 9 + 7 + 599 + 29 + 6 = 666.

It is a super-2 number, since 2×45151097599296² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45151097599297) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16532806251 + ... + 16532808981.

Almost surely, 2^{45151097599296} 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 45151097599296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73570721206752).

45151097599296 is an abundant number, since it is smaller than the sum of its proper divisors (101990344814208).

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

45151097599296 is a wasteful number, since it uses less digits than its factorization.

45151097599296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 275562000, while the sum is 72.

The spelling of 45151097599296 in words is "forty-five trillion, one hundred fifty-one billion, ninety-seven million, five hundred ninety-nine thousand, two hundred ninety-six".