354542650560 has 1120 divisors, whose sum is σ = 1526688092160. Its totient is φ = 76375498752.

The previous prime is 354542650547. The next prime is 354542650601. The reversal of 354542650560 is 65056245453.

354542650560 is a `hidden beast` number, since 3 + 5 + 4 + 542 + 6 + 50 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×354542650560² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 226254897 + ... + 226256463.

It is an arithmetic number, because the mean of its divisors is an integer number (1363114368).

Almost surely, 2^354542650560 is an apocalyptic number.

354542650560 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 354542650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344046080).

354542650560 is an abundant number, since it is smaller than the sum of its proper divisors (1172145441600).

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

354542650560 is a wasteful number, since it uses less digits than its factorization.

354542650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 354542650560 in words is "three hundred fifty-four billion, five hundred forty-two million, six hundred fifty thousand, five hundred sixty".