354012446970 has 256 divisors, whose sum is σ = 1164845767680. Its totient is φ = 74502540288.

The previous prime is 354012446959. The next prime is 354012447031. The reversal of 354012446970 is 79644210453.

354012446970 is a `hidden beast` number, since 3 + 540 + 1 + 2 + 44 + 69 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9736144 + ... + 9772436.

It is an arithmetic number, because the mean of its divisors is an integer number (4550178780).

Almost surely, 2^354012446970 is an apocalyptic number.

354012446970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354012446970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582422883840).

354012446970 is an abundant number, since it is smaller than the sum of its proper divisors (810833320710).

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

354012446970 is a wasteful number, since it uses less digits than its factorization.

354012446970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36726 (or 36720 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 354012446970 in words is "three hundred fifty-four billion, twelve million, four hundred forty-six thousand, nine hundred seventy".