101611454868000 has 3456 divisors, whose sum is σ = 483394329460224. Its totient is φ = 19569917952000.

The previous prime is 101611454867999. The next prime is 101611454868031. The reversal of 101611454868000 is 868454116101.

101611454868000 is a `hidden beast` number, since 1 + 0 + 16 + 1 + 14 + 548 + 6 + 80 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 575 ways as a sum of consecutive naturals, for example, 324637235844 + ... + 324637236156.

It is an arithmetic number, because the mean of its divisors is an integer number (139871044404).

Almost surely, 2^{101611454868000} is an apocalyptic number.

101611454868000 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 101611454868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241697164730112).

101611454868000 is an abundant number, since it is smaller than the sum of its proper divisors (381782874592224).

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

101611454868000 is a wasteful number, since it uses less digits than its factorization.

101611454868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 101611454868000 in words is "one hundred one trillion, six hundred eleven billion, four hundred fifty-four million, eight hundred sixty-eight thousand".