354130299600000 has 768 divisors, whose sum is σ = 1465868028441600. Its totient is φ = 73585497600000.

The previous prime is 354130299599953. The next prime is 354130299600031. The reversal of 354130299600000 is 6992031453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90483711 + ... + 94316289.

It is an arithmetic number, because the mean of its divisors is an integer number (1908682328700).

Almost surely, 2^{354130299600000} is an apocalyptic number.

354130299600000 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 354130299600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732934014220800).

354130299600000 is an abundant number, since it is smaller than the sum of its proper divisors (1111737728841600).

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

354130299600000 is an equidigital number, since it uses as much as digits as its factorization.

354130299600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832639 (or 3832607 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 354130299600000 in words is "three hundred fifty-four trillion, one hundred thirty billion, two hundred ninety-nine million, six hundred thousand".