45151821792 has 768 divisors, whose sum is σ = 170002022400. Its totient is φ = 11416204800.

The previous prime is 45151821763. The next prime is 45151821821. The reversal of 45151821792 is 29712815154.

45151821792 is a `hidden beast` number, since 45 + 1 + 518 + 2 + 1 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (45151821763) and next prime (45151821821).

It is a super-2 number, since 2×45151821792² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 571542009 + ... + 571542087.

It is an arithmetic number, because the mean of its divisors is an integer number (221356800).

Almost surely, 2^45151821792 is an apocalyptic number.

45151821792 is a gapful number since it is divisible by the number (42) 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 45151821792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85001011200).

45151821792 is an abundant number, since it is smaller than the sum of its proper divisors (124850200608).

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

45151821792 is a wasteful number, since it uses less digits than its factorization.

45151821792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 173 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 45151821792 in words is "forty-five billion, one hundred fifty-one million, eight hundred twenty-one thousand, seven hundred ninety-two".