351223324152552 has 192 divisors, whose sum is σ = 969332379125760. Its totient is φ = 114861434688000.

The previous prime is 351223324152433. The next prime is 351223324152671. The reversal of 351223324152552 is 255251423322153.

351223324152552 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 2 + 3 + 3 + 2 + 41 + 52 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (351223324152433) and next prime (351223324152671).

It is a super-2 number, since 2×351223324152552² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 351223324152498 and 351223324152507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295026402 + ... + 1295297582.

It is an arithmetic number, because the mean of its divisors is an integer number (5048606141280).

Almost surely, 2^{351223324152552} 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 351223324152552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484666189562880).

351223324152552 is an abundant number, since it is smaller than the sum of its proper divisors (618109054973208).

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

351223324152552 is a wasteful number, since it uses less digits than its factorization.

351223324152552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272344 (or 272337 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The spelling of 351223324152552 in words is "three hundred fifty-one trillion, two hundred twenty-three billion, three hundred twenty-four million, one hundred fifty-two thousand, five hundred fifty-two".