354506245600 has 144 divisors (see below), whose sum is σ = 933272141760. Its totient is φ = 130717440000.

The previous prime is 354506245591. The next prime is 354506245661. The reversal of 354506245600 is 6542605453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7787706 + ... + 7833094.

It is an arithmetic number, because the mean of its divisors is an integer number (6481056540).

Almost surely, 2^354506245600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354506245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466636070880).

354506245600 is an abundant number, since it is smaller than the sum of its proper divisors (578765896160).

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

354506245600 is a wasteful number, since it uses less digits than its factorization.

354506245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46173 (or 46160 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 354506245600 in words is "three hundred fifty-four billion, five hundred six million, two hundred forty-five thousand, six hundred".