352214082990 has 864 divisors, whose sum is σ = 1271371544352. Its totient is φ = 67131187200.

The previous prime is 352214082989. The next prime is 352214083063. The reversal of 352214082990 is 99280412253.

352214082990 is a `hidden beast` number, since 3 + 522 + 1 + 40 + 82 + 9 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 371925697 + ... + 371926643.

It is an arithmetic number, because the mean of its divisors is an integer number (1471494843).

Almost surely, 2^352214082990 is an apocalyptic number.

352214082990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352214082990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635685772176).

352214082990 is an abundant number, since it is smaller than the sum of its proper divisors (919157461362).

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

352214082990 is a wasteful number, since it uses less digits than its factorization.

352214082990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 352214082990 in words is "three hundred fifty-two billion, two hundred fourteen million, eighty-two thousand, nine hundred ninety".