49866082366464 has 792 divisors, whose sum is σ = 186198984211968. Its totient is φ = 12727206051840.

The previous prime is 49866082366411. The next prime is 49866082366543. The reversal of 49866082366464 is 46466328066894.

49866082366464 is a `hidden beast` number, since 4 + 9 + 8 + 6 + 608 + 2 + 3 + 6 + 6 + 4 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49866082366392 and 49866082366401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181851349 + ... + 182125355.

Almost surely, 2^{49866082366464} 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 49866082366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93099492105984).

49866082366464 is an abundant number, since it is smaller than the sum of its proper divisors (136332901845504).

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

49866082366464 is a wasteful number, since it uses less digits than its factorization.

49866082366464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274091 (or 274063 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 72.

The spelling of 49866082366464 in words is "forty-nine trillion, eight hundred sixty-six billion, eighty-two million, three hundred sixty-six thousand, four hundred sixty-four".