10739134246464 has 672 divisors, whose sum is σ = 35449627449600. Its totient is φ = 3182800158720.

The previous prime is 10739134246453. The next prime is 10739134246469. The reversal of 10739134246464 is 46464243193701.

10739134246464 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 9 + 134 + 2 + 46 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10739134246464.

It is not an unprimeable number, because it can be changed into a prime (10739134246469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4259869524 + ... + 4259872044.

It is an arithmetic number, because the mean of its divisors is an integer number (52752421800).

Almost surely, 2^{10739134246464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10739134246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17724813724800).

10739134246464 is an abundant number, since it is smaller than the sum of its proper divisors (24710493203136).

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

10739134246464 is a wasteful number, since it uses less digits than its factorization.

10739134246464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 10739134246464 in words is "ten trillion, seven hundred thirty-nine billion, one hundred thirty-four million, two hundred forty-six thousand, four hundred sixty-four".