354499461120 has 768 divisors, whose sum is σ = 1355536425600. Its totient is φ = 78831943680.

The previous prime is 354499461089. The next prime is 354499461193. The reversal of 354499461120 is 21164994453.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a self number, because there is not a number n which added to its sum of digits gives 354499461120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987463501 + ... + 987463859.

Almost surely, 2^354499461120 is an apocalyptic number.

354499461120 is a gapful number since it is divisible by the number (30) 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 354499461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677768212800).

354499461120 is an abundant number, since it is smaller than the sum of its proper divisors (1001036964480).

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

354499461120 is an equidigital number, since it uses as much as digits as its factorization.

354499461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 354499461120 in words is "three hundred fifty-four billion, four hundred ninety-nine million, four hundred sixty-one thousand, one hundred twenty".