352954098701120 has 448 divisors, whose sum is σ = 988638082867200. Its totient is φ = 117531734261760.

The previous prime is 352954098701023. The next prime is 352954098701147. The reversal of 352954098701120 is 21107890459253.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4895916275 + ... + 4895988365.

Almost surely, 2^{352954098701120} 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 352954098701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494319041433600).

352954098701120 is an abundant number, since it is smaller than the sum of its proper divisors (635683984166080).

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

352954098701120 is a wasteful number, since it uses less digits than its factorization.

352954098701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72646 (or 72636 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 56.

The spelling of 352954098701120 in words is "three hundred fifty-two trillion, nine hundred fifty-four billion, ninety-eight million, seven hundred one thousand, one hundred twenty".