100496911648000 has 288 divisors, whose sum is σ = 286610942112768. Its totient is φ = 34396323840000.

The previous prime is 100496911647959. The next prime is 100496911648019. The reversal of 100496911648000 is 846119694001.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 128859225 + ... + 129636775.

It is an arithmetic number, because the mean of its divisors is an integer number (995176882336).

Almost surely, 2^{100496911648000} is an apocalyptic number.

100496911648000 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 100496911648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143305471056384).

100496911648000 is an abundant number, since it is smaller than the sum of its proper divisors (186114030464768).

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

100496911648000 is an frugal number, since it uses more digits than its factorization.

100496911648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778166 (or 778142 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 100496911648000 in words is "one hundred trillion, four hundred ninety-six billion, nine hundred eleven million, six hundred forty-eight thousand".