10355445464 has 64 divisors (see below), whose sum is σ = 23942264640. Its totient is φ = 4088931840.

The previous prime is 10355445431. The next prime is 10355445479. The reversal of 10355445464 is 46454455301.

It is a super-3 number, since 3×10355445464³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380702 + ... + 406994.

It is an arithmetic number, because the mean of its divisors is an integer number (374097885).

Almost surely, 2^10355445464 is an apocalyptic number.

10355445464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10355445464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11971132320).

10355445464 is an abundant number, since it is smaller than the sum of its proper divisors (13586819176).

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

10355445464 is a wasteful number, since it uses less digits than its factorization.

10355445464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26860 (or 26856 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The spelling of 10355445464 in words is "ten billion, three hundred fifty-five million, four hundred forty-five thousand, four hundred sixty-four".