4806407291904 has 297 divisors, whose sum is σ = 14250734987671. Its totient is φ = 1560253071360.

The previous prime is 4806407291899. The next prime is 4806407291953. The reversal of 4806407291904 is 4091927046084.

The square root of 4806407291904 is 2192352.

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

4806407291904 is a `hidden beast` number, since 48 + 0 + 6 + 407 + 2 + 9 + 190 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3611216102400 + 1195191189504 = 1900320^2 + 1093248^2 .

It is a super-3 number, since 3×4806407291904³ (a number of 39 digits) contains 333 as substring.

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, 8629097194 + ... + 8629097750.

Almost surely, 2^{4806407291904} is an apocalyptic number.

4806407291904 is the 2192352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4806407291904

4806407291904 is an abundant number, since it is smaller than the sum of its proper divisors (9444327695767).

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

4806407291904 is an frugal number, since it uses more digits than its factorization.

4806407291904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4806407291904 in words is "four trillion, eight hundred six billion, four hundred seven million, two hundred ninety-one thousand, nine hundred four".