354993533258064 has 80 divisors (see below), whose sum is σ = 971021476272960. Its totient is φ = 111369401620480.

The previous prime is 354993533258059. The next prime is 354993533258107. The reversal of 354993533258064 is 460852335399453.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 354993533258064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81048394 + ... + 85316054.

It is an arithmetic number, because the mean of its divisors is an integer number (12137768453412).

Almost surely, 2^{354993533258064} is an apocalyptic number.

354993533258064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

354993533258064 is an abundant number, since it is smaller than the sum of its proper divisors (616027943014896).

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

354993533258064 is a wasteful number, since it uses less digits than its factorization.

354993533258064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369628 (or 4369622 counting only the distinct ones).

The product of its (nonzero) digits is 1259712000, while the sum is 69.

The spelling of 354993533258064 in words is "three hundred fifty-four trillion, nine hundred ninety-three billion, five hundred thirty-three million, two hundred fifty-eight thousand, sixty-four".