352063579140 has 480 divisors, whose sum is σ = 1430860273920. Its totient is φ = 70371431424.

The previous prime is 352063579097. The next prime is 352063579157. The reversal of 352063579140 is 41975360253.

352063579140 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 63 + 579 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2738134 + ... + 2863826.

It is an arithmetic number, because the mean of its divisors is an integer number (2980958904).

Almost surely, 2^352063579140 is an apocalyptic number.

352063579140 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 352063579140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715430136960).

352063579140 is an abundant number, since it is smaller than the sum of its proper divisors (1078796694780).

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

352063579140 is a wasteful number, since it uses less digits than its factorization.

352063579140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125753 (or 125742 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 352063579140 in words is "three hundred fifty-two billion, sixty-three million, five hundred seventy-nine thousand, one hundred forty".