45936506970648 has 896 divisors, whose sum is σ = 160463158617600. Its totient is φ = 12031438768128.

The previous prime is 45936506970647. The next prime is 45936506970677. The reversal of 45936506970648 is 84607960563954.

45936506970648 is a `hidden beast` number, since 4 + 5 + 9 + 3 + 6 + 506 + 9 + 70 + 6 + 48 = 666.

It is a super-2 number, since 2×45936506970648² (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 (45936506970647) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3001005411 + ... + 3001020717.

Almost surely, 2^{45936506970648} 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 45936506970648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80231579308800).

45936506970648 is an abundant number, since it is smaller than the sum of its proper divisors (114526651646952).

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

45936506970648 is a wasteful number, since it uses less digits than its factorization.

45936506970648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15483 (or 15464 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 45936506970648 in words is "forty-five trillion, nine hundred thirty-six billion, five hundred six million, nine hundred seventy thousand, six hundred forty-eight".