353670147072 has 528 divisors, whose sum is σ = 1164085208832. Its totient is φ = 106360750080.

The previous prime is 353670147031. The next prime is 353670147101. The reversal of 353670147072 is 270741076353.

353670147072 is a `hidden beast` number, since 3 + 53 + 67 + 0 + 1 + 470 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×353670147072² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429732453 + ... + 429733275.

Almost surely, 2^353670147072 is an apocalyptic number.

353670147072 is a gapful number since it is divisible by the number (32) 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 353670147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582042604416).

353670147072 is an abundant number, since it is smaller than the sum of its proper divisors (810415061760).

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

353670147072 is a wasteful number, since it uses less digits than its factorization.

353670147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 353670147072 in words is "three hundred fifty-three billion, six hundred seventy million, one hundred forty-seven thousand, seventy-two".