3468457390153 has 32 divisors (see below), whose sum is σ = 4272428441600. Its totient is φ = 2810152653840.

The previous prime is 3468457390081. The next prime is 3468457390157. The reversal of 3468457390153 is 3510937548643.

It is a de Polignac number, because none of the positive numbers 2^k-3468457390153 is a prime.

It is a super-3 number, since 3×3468457390153³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3468457390157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3335775 + ... + 4250212.

It is an arithmetic number, because the mean of its divisors is an integer number (133513388800).

Almost surely, 2^{3468457390153} is an apocalyptic number.

It is an amenable number.

3468457390153 is a deficient number, since it is larger than the sum of its proper divisors (803971051447).

3468457390153 is an equidigital number, since it uses as much as digits as its factorization.

3468457390153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586082 (or 7586068 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 3468457390153 in words is "three trillion, four hundred sixty-eight billion, four hundred fifty-seven million, three hundred ninety thousand, one hundred fifty-three".