10356452451264 has 56 divisors (see below), whose sum is σ = 27552836413648. Its totient is φ = 3433078149120.

The previous prime is 10356452451251. The next prime is 10356452451337. The reversal of 10356452451264 is 46215425465301.

It is a super-3 number, since 3×10356452451264³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148970377 + ... + 149039880.

It is an arithmetic number, because the mean of its divisors is an integer number (492014935958).

Almost surely, 2^{10356452451264} is an apocalyptic number.

It is an amenable number.

10356452451264 is an abundant number, since it is smaller than the sum of its proper divisors (17196383962384).

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

10356452451264 is a wasteful number, since it uses less digits than its factorization.

10356452451264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298010453 (or 298010443 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 10356452451264 in words is "ten trillion, three hundred fifty-six billion, four hundred fifty-two million, four hundred fifty-one thousand, two hundred sixty-four".