48086667014400 has 3456 divisors, whose sum is σ = 215750831063040. Its totient is φ = 10244393533440.

The previous prime is 48086667014363. The next prime is 48086667014431. The reversal of 48086667014400 is 441076668084.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-3 number, since 3×48086667014400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 277957612714 + ... + 277957612886.

Almost surely, 2^{48086667014400} is an apocalyptic number.

48086667014400 is a gapful number since it is divisible by the number (40) 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 48086667014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107875415531520).

48086667014400 is an abundant number, since it is smaller than the sum of its proper divisors (167664164048640).

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

48086667014400 is a wasteful number, since it uses less digits than its factorization.

48086667014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 48086667014400 in words is "forty-eight trillion, eighty-six billion, six hundred sixty-seven million, fourteen thousand, four hundred".