356713846398 has 192 divisors, whose sum is σ = 994195762560. Its totient is φ = 89896697856.

The previous prime is 356713846393. The next prime is 356713846417. The reversal of 356713846398 is 893648317653.

356713846398 is a `hidden beast` number, since 3 + 56 + 7 + 1 + 38 + 463 + 98 = 666.

It is a super-3 number, since 3×356713846398³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356713846393) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4568986 + ... + 4646402.

It is an arithmetic number, because the mean of its divisors is an integer number (5178102930).

Almost surely, 2^356713846398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356713846398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497097881280).

356713846398 is an abundant number, since it is smaller than the sum of its proper divisors (637481916162).

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

356713846398 is a wasteful number, since it uses less digits than its factorization.

356713846398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77571 (or 77568 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 356713846398 in words is "three hundred fifty-six billion, seven hundred thirteen million, eight hundred forty-six thousand, three hundred ninety-eight".