101048634086400 has 8448 divisors, whose sum is σ = 539390916771840. Its totient is φ = 17984913408000.

The previous prime is 101048634086371. The next prime is 101048634086441. The reversal of 101048634086400 is 4680436840101.

101048634086400 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 8 + 634 + 0 + 8 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8448).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1423220198365 + ... + 1423220198435.

Almost surely, 2^{101048634086400} is an apocalyptic number.

101048634086400 is a gapful number since it is divisible by the number (10) 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 101048634086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269695458385920).

101048634086400 is an abundant number, since it is smaller than the sum of its proper divisors (438342282685440).

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

101048634086400 is a wasteful number, since it uses less digits than its factorization.

101048634086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 101048634086400 in words is "one hundred one trillion, forty-eight billion, six hundred thirty-four million, eighty-six thousand, four hundred".