354943661173920 has 960 divisors, whose sum is σ = 1542485407034880. Its totient is φ = 74852501594112.

The previous prime is 354943661173901. The next prime is 354943661173957. The reversal of 354943661173920 is 29371166349453.

354943661173920 is a `hidden beast` number, since 3 + 5 + 4 + 9 + 4 + 3 + 6 + 611 + 7 + 3 + 9 + 2 + 0 = 666.

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

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, 2440023109 + ... + 2440168571.

It is an arithmetic number, because the mean of its divisors is an integer number (1606755632328).

Almost surely, 2^{354943661173920} is an apocalyptic number.

354943661173920 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 354943661173920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771242703517440).

354943661173920 is an abundant number, since it is smaller than the sum of its proper divisors (1187541745860960).

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

354943661173920 is a wasteful number, since it uses less digits than its factorization.

354943661173920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147579 (or 147562 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 354943661173920 in words is "three hundred fifty-four trillion, nine hundred forty-three billion, six hundred sixty-one million, one hundred seventy-three thousand, nine hundred twenty".