308349296640 has 2240 divisors, whose sum is σ = 1479811120128. Its totient is φ = 59454259200.

The previous prime is 308349296639. The next prime is 308349296659. The reversal of 308349296640 is 46692943803.

308349296640 is a `hidden beast` number, since 3 + 0 + 8 + 3 + 492 + 96 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4342947805 + ... + 4342947875.

Almost surely, 2^308349296640 is an apocalyptic number.

308349296640 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 308349296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739905560064).

308349296640 is an abundant number, since it is smaller than the sum of its proper divisors (1171461823488).

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

308349296640 is a wasteful number, since it uses less digits than its factorization.

308349296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 308349296640 in words is "three hundred eight billion, three hundred forty-nine million, two hundred ninety-six thousand, six hundred forty".