361822770348696 has 256 divisors, whose sum is σ = 1050527441088000. Its totient is φ = 115270518873600.

The previous prime is 361822770348661. The next prime is 361822770348709. The reversal of 361822770348696 is 696843077228163.

361822770348696 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 2 + 277 + 0 + 348 + 6 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 615993546 + ... + 616580646.

It is an arithmetic number, because the mean of its divisors is an integer number (4103622816750).

Almost surely, 2^{361822770348696} is an apocalyptic number.

361822770348696 is a gapful number since it is divisible by the number (36) 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 361822770348696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525263720544000).

361822770348696 is an abundant number, since it is smaller than the sum of its proper divisors (688704670739304).

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

361822770348696 is a wasteful number, since it uses less digits than its factorization.

361822770348696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588519 (or 588509 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 361822770348696 in words is "three hundred sixty-one trillion, eight hundred twenty-two billion, seven hundred seventy million, three hundred forty-eight thousand, six hundred ninety-six".