93406029376 has 189 divisors, whose sum is σ = 214397615019. Its totient is φ = 40342368000.

The previous prime is 93406029361. The next prime is 93406029383. The reversal of 93406029376 is 67392060439.

The square root of 93406029376 is 305624.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 618582901 + ... + 618583051.

Almost surely, 2^93406029376 is an apocalyptic number.

93406029376 is the 305624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93406029376

93406029376 is an abundant number, since it is smaller than the sum of its proper divisors (120991585643).

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

93406029376 is a wasteful number, since it uses less digits than its factorization.

93406029376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 49.

Multiplying 93406029376 by its sum of digits (49), we get a square (4576895439424 = 2139368²).

The spelling of 93406029376 in words is "ninety-three billion, four hundred six million, twenty-nine thousand, three hundred seventy-six".