354960460389600 has 864 divisors, whose sum is σ = 1406837126036160. Its totient is φ = 83560068218880.

The previous prime is 354960460389581. The next prime is 354960460389643. The reversal of 354960460389600 is 6983064069453.

It is a happy number.

354960460389600 is a `hidden beast` number, since 3 + 5 + 4 + 96 + 0 + 460 + 3 + 89 + 6 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (63) 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 143 ways as a sum of consecutive naturals, for example, 14365622046 + ... + 14365646754.

It is an arithmetic number, because the mean of its divisors is an integer number (1628283710690).

Almost surely, 2^{354960460389600} is an apocalyptic number.

354960460389600 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 354960460389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703418563018080).

354960460389600 is an abundant number, since it is smaller than the sum of its proper divisors (1051876665646560).

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

354960460389600 is a wasteful number, since it uses less digits than its factorization.

354960460389600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31444 (or 31428 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 354960460389600 in words is "three hundred fifty-four trillion, nine hundred sixty billion, four hundred sixty million, three hundred eighty-nine thousand, six hundred".