353512483680 has 96 divisors (see below), whose sum is σ = 1118343923424. Its totient is φ = 93865373696.

The previous prime is 353512483669. The next prime is 353512483691. The reversal of 353512483680 is 86384215353.

It is a happy number.

353512483680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (353512483669) and next prime (353512483691).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×353512483680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468599 + ... + 1692278.

It is an arithmetic number, because the mean of its divisors is an integer number (11649415869).

Almost surely, 2^353512483680 is an apocalyptic number.

353512483680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353512483680 is an abundant number, since it is smaller than the sum of its proper divisors (764831439744).

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

353512483680 is a wasteful number, since it uses less digits than its factorization.

353512483680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161128 (or 3161120 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 353512483680 in words is "three hundred fifty-three billion, five hundred twelve million, four hundred eighty-three thousand, six hundred eighty".