100072673146494 has 80 divisors (see below), whose sum is σ = 234529242393600. Its totient is φ = 31833197914320.

The previous prime is 100072673146493. The next prime is 100072673146507. The reversal of 100072673146494 is 494641376270001.

100072673146494 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 2 + 6 + 7 + 3 + 146 + 494 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100072673146494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072673146493) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29551794 + ... + 32763605.

It is an arithmetic number, because the mean of its divisors is an integer number (2931615529920).

Almost surely, 2^{100072673146494} is an apocalyptic number.

100072673146494 is an abundant number, since it is smaller than the sum of its proper divisors (134456569247106).

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

100072673146494 is a wasteful number, since it uses less digits than its factorization.

100072673146494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62315867 (or 62315858 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

It can be divided in two parts, 1000726731 and 46494, that added together give a square (1000773225 = 31635²).

The spelling of 100072673146494 in words is "one hundred trillion, seventy-two billion, six hundred seventy-three million, one hundred forty-six thousand, four hundred ninety-four".