354911325221376 has 7680 divisors, whose sum is σ = 1578649131417600. Its totient is φ = 77253378048000.

The previous prime is 354911325221347. The next prime is 354911325221437. The reversal of 354911325221376 is 673122523119453.

354911325221376 is a `hidden beast` number, since 3 + 5 + 4 + 9 + 1 + 1 + 32 + 522 + 13 + 76 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4998751059421 + ... + 4998751059491.

It is an arithmetic number, because the mean of its divisors is an integer number (205553272320).

Almost surely, 2^{354911325221376} is an apocalyptic number.

354911325221376 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 354911325221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789324565708800).

354911325221376 is an abundant number, since it is smaller than the sum of its proper divisors (1223737806196224).

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

354911325221376 is a wasteful number, since it uses less digits than its factorization.

354911325221376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 228 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 354911325221376 in words is "three hundred fifty-four trillion, nine hundred eleven billion, three hundred twenty-five million, two hundred twenty-one thousand, three hundred seventy-six".