351162266400 has 432 divisors, whose sum is σ = 1352140957440. Its totient is φ = 85049395200.

The previous prime is 351162266383. The next prime is 351162266417. The reversal of 351162266400 is 4662261153.

351162266400 is a `hidden beast` number, since 3 + 5 + 1 + 1 + 6 + 2 + 2 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (351162266383) and next prime (351162266417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163863729 + ... + 163865871.

It is an arithmetic number, because the mean of its divisors is an integer number (3129955920).

Almost surely, 2^351162266400 is an apocalyptic number.

351162266400 is a gapful number since it is divisible by the number (30) 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 351162266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676070478720).

351162266400 is an abundant number, since it is smaller than the sum of its proper divisors (1000978691040).

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

351162266400 is a wasteful number, since it uses less digits than its factorization.

351162266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 351162266400 in words is "three hundred fifty-one billion, one hundred sixty-two million, two hundred sixty-six thousand, four hundred".