354761612352 has 560 divisors, whose sum is σ = 1268699520000. Its totient is φ = 95753788416.

The previous prime is 354761612327. The next prime is 354761612369. The reversal of 354761612352 is 253216167453.

354761612352 is a `hidden beast` number, since 3 + 5 + 4 + 7 + 616 + 1 + 23 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 354761612298 and 354761612307.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 412993299 + ... + 412994157.

Almost surely, 2^354761612352 is an apocalyptic number.

354761612352 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 354761612352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634349760000).

354761612352 is an abundant number, since it is smaller than the sum of its proper divisors (913937907648).

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

354761612352 is a wasteful number, since it uses less digits than its factorization.

354761612352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1489 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 354761612352 in words is "three hundred fifty-four billion, seven hundred sixty-one million, six hundred twelve thousand, three hundred fifty-two".