353601400780656 has 480 divisors, whose sum is σ = 1178012979486720. Its totient is φ = 96885360230400.

The previous prime is 353601400780619. The next prime is 353601400780679. The reversal of 353601400780656 is 656087004106353.

353601400780656 is a `hidden beast` number, since 3 + 5 + 360 + 140 + 0 + 7 + 80 + 65 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33583564000 + ... + 33583574528.

It is an arithmetic number, because the mean of its divisors is an integer number (2454193707264).

Almost surely, 2^{353601400780656} is an apocalyptic number.

353601400780656 is a gapful number since it is divisible by the number (36) 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 353601400780656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589006489743360).

353601400780656 is an abundant number, since it is smaller than the sum of its proper divisors (824411578706064).

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

353601400780656 is a wasteful number, since it uses less digits than its factorization.

353601400780656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20205 (or 20196 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 353601400780656 in words is "three hundred fifty-three trillion, six hundred one billion, four hundred million, seven hundred eighty thousand, six hundred fifty-six".