10484656952004 has 189 divisors, whose sum is σ = 27996491450109. Its totient is φ = 3434095401120.

The previous prime is 10484656951949. The next prime is 10484656952017. The reversal of 10484656952004 is 40025965648401.

It is a happy number.

The square root of 10484656952004 is 3238002.

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

10484656952004 is a `hidden beast` number, since 1 + 0 + 484 + 6 + 56 + 95 + 20 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 340941545604 + 10143715406400 = 583902^2 + 3184920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 10665978097 + ... + 10665979079.

Almost surely, 2^{10484656952004} is an apocalyptic number.

10484656952004 is the 3238002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10484656952004

10484656952004 is an abundant number, since it is smaller than the sum of its proper divisors (17511834498105).

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

10484656952004 is an frugal number, since it uses more digits than its factorization.

10484656952004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 10484656952004 in words is "ten trillion, four hundred eighty-four billion, six hundred fifty-six million, nine hundred fifty-two thousand, four".