45956284752 has 160 divisors (see below), whose sum is σ = 136492692480. Its totient is φ = 13052067840.

The previous prime is 45956284747. The next prime is 45956284753. The reversal of 45956284752 is 25748265954.

It is a super-2 number, since 2×45956284752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45956284692 and 45956284701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45956284753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71694352 + ... + 71694992.

It is an arithmetic number, because the mean of its divisors is an integer number (853079328).

Almost surely, 2^45956284752 is an apocalyptic number.

45956284752 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 45956284752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68246346240).

45956284752 is an abundant number, since it is smaller than the sum of its proper divisors (90536407728).

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

45956284752 is a wasteful number, since it uses less digits than its factorization.

45956284752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1595 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 57.

The spelling of 45956284752 in words is "forty-five billion, nine hundred fifty-six million, two hundred eighty-four thousand, seven hundred fifty-two".