354292806144 has 80 divisors (see below), whose sum is σ = 959856020640. Its totient is φ = 116095918080.

The previous prime is 354292806097. The next prime is 354292806199. The reversal of 354292806144 is 441608292453.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 354292806093 and 354292806102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1864117 + ... + 2045364.

It is an arithmetic number, because the mean of its divisors is an integer number (11998200258).

Almost surely, 2^354292806144 is an apocalyptic number.

It is an amenable number.

354292806144 is an abundant number, since it is smaller than the sum of its proper divisors (605563214496).

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

354292806144 is an equidigital number, since it uses as much as digits as its factorization.

354292806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909561 (or 3909545 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 354292806144 in words is "three hundred fifty-four billion, two hundred ninety-two million, eight hundred six thousand, one hundred forty-four".