357145668960 has 96 divisors (see below), whose sum is σ = 1125130487040. Its totient is φ = 95228548608.

The previous prime is 357145668959. The next prime is 357145668967. The reversal of 357145668960 is 69866541753.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 357145668894 and 357145668903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357145668967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5083351 + ... + 5153129.

It is an arithmetic number, because the mean of its divisors is an integer number (11720109240).

Almost surely, 2^357145668960 is an apocalyptic number.

357145668960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

357145668960 is an abundant number, since it is smaller than the sum of its proper divisors (767984818080).

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

357145668960 is a wasteful number, since it uses less digits than its factorization.

357145668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80460 (or 80452 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 357145668960 in words is "three hundred fifty-seven billion, one hundred forty-five million, six hundred sixty-eight thousand, nine hundred sixty".