48436563861504 has 4032 divisors, whose sum is σ = 203622372495360. Its totient is φ = 10915801989120.

The previous prime is 48436563861449. The next prime is 48436563861601. The reversal of 48436563861504 is 40516836563484.

48436563861504 is a `hidden beast` number, since 4 + 8 + 4 + 3 + 6 + 5 + 6 + 3 + 8 + 615 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×48436563861504² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 470257901517 + ... + 470257901619.

It is an arithmetic number, because the mean of its divisors is an integer number (50501580480).

Almost surely, 2^{48436563861504} 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 48436563861504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101811186247680).

48436563861504 is an abundant number, since it is smaller than the sum of its proper divisors (155185808633856).

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

48436563861504 is a wasteful number, since it uses less digits than its factorization.

48436563861504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 48436563861504 in words is "forty-eight trillion, four hundred thirty-six billion, five hundred sixty-three million, eight hundred sixty-one thousand, five hundred four".