101463400636416 has 672 divisors, whose sum is σ = 379723360074240. Its totient is φ = 25351147487232.

The previous prime is 101463400636379. The next prime is 101463400636441. The reversal of 101463400636416 is 614636004364101.

101463400636416 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 3 + 4 + 0 + 0 + 636 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127077741 + ... + 127873683.

It is an arithmetic number, because the mean of its divisors is an integer number (565064523920).

Almost surely, 2^{101463400636416} is an apocalyptic number.

101463400636416 is a gapful number since it is divisible by the number (16) 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 101463400636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189861680037120).

101463400636416 is an abundant number, since it is smaller than the sum of its proper divisors (278259959437824).

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

101463400636416 is a wasteful number, since it uses less digits than its factorization.

101463400636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796014 (or 795987 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 101463400636416 in words is "one hundred one trillion, four hundred sixty-three billion, four hundred million, six hundred thirty-six thousand, four hundred sixteen".