352700249150640 has 80 divisors (see below), whose sum is σ = 1105655837292000. Its totient is φ = 92996619995136.

The previous prime is 352700249150617. The next prime is 352700249150647. The reversal of 352700249150640 is 46051942007253.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 352700249150640.

It is not an unprimeable number, because it can be changed into a prime (352700249150647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8256070615 + ... + 8256113334.

It is an arithmetic number, because the mean of its divisors is an integer number (13820697966150).

Almost surely, 2^{352700249150640} is an apocalyptic number.

352700249150640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352700249150640 is an abundant number, since it is smaller than the sum of its proper divisors (752955588141360).

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

352700249150640 is a wasteful number, since it uses less digits than its factorization.

352700249150640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16512184054 (or 16512184048 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 352700249150640 in words is "three hundred fifty-two trillion, seven hundred billion, two hundred forty-nine million, one hundred fifty thousand, six hundred forty".