357013977216 has 128 divisors (see below), whose sum is σ = 1029063752640. Its totient is φ = 109011701760.

The previous prime is 357013977121. The next prime is 357013977217. The reversal of 357013977216 is 612779310753.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×357013977216² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (357013977217) 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, 380986 + ... + 926918.

Almost surely, 2^357013977216 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 357013977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514531876320).

357013977216 is an abundant number, since it is smaller than the sum of its proper divisors (672049775424).

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

357013977216 is a wasteful number, since it uses less digits than its factorization.

357013977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546094 (or 546082 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 51.

The spelling of 357013977216 in words is "three hundred fifty-seven billion, thirteen million, nine hundred seventy-seven thousand, two hundred sixteen".