48635610134400 has 2304 divisors, whose sum is σ = 192767047387200. Its totient is φ = 11626610688000.

The previous prime is 48635610134323. The next prime is 48635610134459. The reversal of 48635610134400 is 443101653684.

48635610134400 is a `hidden beast` number, since 4 + 8 + 63 + 56 + 1 + 0 + 134 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 189243619072 + ... + 189243619328.

Almost surely, 2^{48635610134400} is an apocalyptic number.

48635610134400 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 48635610134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96383523693600).

48635610134400 is an abundant number, since it is smaller than the sum of its proper divisors (144131437252800).

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

48635610134400 is a wasteful number, since it uses less digits than its factorization.

48635610134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 48635610134400 in words is "forty-eight trillion, six hundred thirty-five billion, six hundred ten million, one hundred thirty-four thousand, four hundred".