48164960249604 has 135 divisors (see below), whose sum is σ = 138403880718103. Its totient is φ = 14595026094000.

The previous prime is 48164960249561. The next prime is 48164960249611. The reversal of 48164960249604 is 40694206946184.

The square root of 48164960249604 is 6940098.

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

48164960249604 is a `hidden beast` number, since 4 + 8 + 16 + 4 + 9 + 6 + 0 + 2 + 4 + 9 + 604 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1374121879 + ... + 1374156929.

Almost surely, 2^{48164960249604} is an apocalyptic number.

48164960249604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

48164960249604 is the 6940098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48164960249604

48164960249604 is an abundant number, since it is smaller than the sum of its proper divisors (90238920468499).

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

48164960249604 is an frugal number, since it uses more digits than its factorization.

48164960249604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70140 (or 35067 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 48164960249604 in words is "forty-eight trillion, one hundred sixty-four billion, nine hundred sixty million, two hundred forty-nine thousand, six hundred four".