355371977705472 has 2592 divisors, whose sum is σ = 1368867047839200. Its totient is φ = 88273522262016.

The previous prime is 355371977705399. The next prime is 355371977705527. The reversal of 355371977705472 is 274507779173553.

It is a happy number.

355371977705472 is a `hidden beast` number, since 3 + 5 + 5 + 3 + 7 + 1 + 9 + 7 + 7 + 70 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 355371977705472.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 820720502568 + ... + 820720503000.

It is an arithmetic number, because the mean of its divisors is an integer number (528112286975).

Almost surely, 2^{355371977705472} is an apocalyptic number.

355371977705472 is a gapful number since it is divisible by the number (32) 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 355371977705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684433523919600).

355371977705472 is an abundant number, since it is smaller than the sum of its proper divisors (1013495070133728).

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

355371977705472 is a wasteful number, since it uses less digits than its factorization.

355371977705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1361367000, while the sum is 72.

The spelling of 355371977705472 in words is "three hundred fifty-five trillion, three hundred seventy-one billion, nine hundred seventy-seven million, seven hundred five thousand, four hundred seventy-two".