354729485214720 has 3168 divisors, whose sum is σ = 1591439356091520. Its totient is φ = 72228006789120.

The previous prime is 354729485214569. The next prime is 354729485214721. The reversal of 354729485214720 is 27412584927453.

354729485214720 is a `hidden beast` number, since 3 + 5 + 4 + 7 + 2 + 9 + 48 + 521 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (354729485214721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 324546646494 + ... + 324546647586.

Almost surely, 2^{354729485214720} is an apocalyptic number.

354729485214720 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 354729485214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795719678045760).

354729485214720 is an abundant number, since it is smaller than the sum of its proper divisors (1236709870876800).

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

354729485214720 is a wasteful number, since it uses less digits than its factorization.

354729485214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 354729485214720 in words is "three hundred fifty-four trillion, seven hundred twenty-nine billion, four hundred eighty-five million, two hundred fourteen thousand, seven hundred twenty".