4614007104576 has 63 divisors (see below), whose sum is σ = 13225366048453. Its totient is φ = 1537985184000.

The previous prime is 4614007104481. The next prime is 4614007104599. The reversal of 4614007104576 is 6754017004164.

The square root of 4614007104576 is 2148024.

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

4614007104576 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 0 + 0 + 71 + 0 + 4 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4593409114176 + 20597990400 = 2143224^2 + 143520^2 .

It is a super-2 number, since 2×4614007104576² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51507826 + ... + 51597326.

Almost surely, 2^{4614007104576} is an apocalyptic number.

4614007104576 is the 2148024-th square number.

It is an amenable number.

4614007104576 is an abundant number, since it is smaller than the sum of its proper divisors (8611358943877).

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

4614007104576 is an frugal number, since it uses more digits than its factorization.

4614007104576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179020 (or 89506 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 4614007104576 in words is "four trillion, six hundred fourteen billion, seven million, one hundred four thousand, five hundred seventy-six".