354275201958048 has 240 divisors, whose sum is σ = 1195057101135744. Its totient is φ = 100856064314880.

The previous prime is 354275201958023. The next prime is 354275201958049. The reversal of 354275201958048 is 840859102572453.

It is a happy number.

354275201958048 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 7 + 5 + 2 + 0 + 1 + 9 + 580 + 48 = 666.

It is a super-3 number, since 3×354275201958048³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (354275201958049) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30219148 + ... + 40270923.

Almost surely, 2^{354275201958048} is an apocalyptic number.

It is an amenable number.

354275201958048 is an abundant number, since it is smaller than the sum of its proper divisors (840781899177696).

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

354275201958048 is a wasteful number, since it uses less digits than its factorization.

354275201958048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70490377 (or 70490360 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 354275201958048 in words is "three hundred fifty-four trillion, two hundred seventy-five billion, two hundred one million, nine hundred fifty-eight thousand, forty-eight".