354868480512 has 1600 divisors, whose sum is σ = 1414096992000. Its totient is φ = 87787929600.

The previous prime is 354868480507. The next prime is 354868480529. The reversal of 354868480512 is 215084868453.

354868480512 is a `hidden beast` number, since 3 + 5 + 4 + 86 + 8 + 48 + 0 + 512 = 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 159 ways as a sum of consecutive naturals, for example, 3513549262 + ... + 3513549362.

It is an arithmetic number, because the mean of its divisors is an integer number (883810620).

Almost surely, 2^354868480512 is an apocalyptic number.

354868480512 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 354868480512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707048496000).

354868480512 is an abundant number, since it is smaller than the sum of its proper divisors (1059228511488).

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

354868480512 is a wasteful number, since it uses less digits than its factorization.

354868480512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 354868480512 in words is "three hundred fifty-four billion, eight hundred sixty-eight million, four hundred eighty thousand, five hundred twelve".