93474372667392 has 480 divisors, whose sum is σ = 288576291963960. Its totient is φ = 30122606592000.

The previous prime is 93474372667369. The next prime is 93474372667393. The reversal of 93474372667392 is 29376627347439.

93474372667392 is a `hidden beast` number, since 9 + 3 + 47 + 4 + 372 + 66 + 73 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91683229418496 + 1791143248896 = 9575136^2 + 1338336^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 93474372667392.

It is not an unprimeable number, because it can be changed into a prime (93474372667393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 963594892 + ... + 963691892.

Almost surely, 2^{93474372667392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93474372667392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144288145981980).

93474372667392 is an abundant number, since it is smaller than the sum of its proper divisors (195101919296568).

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

93474372667392 is a wasteful number, since it uses less digits than its factorization.

93474372667392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97229 (or 97200 counting only the distinct ones).

The product of its digits is 1728324864, while the sum is 72.

The spelling of 93474372667392 in words is "ninety-three trillion, four hundred seventy-four billion, three hundred seventy-two million, six hundred sixty-seven thousand, three hundred ninety-two".