354891849984 has 567 divisors, whose sum is σ = 1241819479677. Its totient is φ = 100882962432.

The previous prime is 354891849953. The next prime is 354891850039. The reversal of 354891849984 is 489948198453.

The square root of 354891849984 is 595728.

It is a perfect power (a square), and thus also a powerful number.

354891849984 is a `hidden beast` number, since 3 + 5 + 48 + 9 + 18 + 499 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 347722502400 + 7169347584 = 589680^2 + 84672^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1801481374 + ... + 1801481570.

Almost surely, 2^354891849984 is an apocalyptic number.

354891849984 is the 595728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354891849984

354891849984 is an abundant number, since it is smaller than the sum of its proper divisors (886927629693).

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

354891849984 is an frugal number, since it uses more digits than its factorization.

354891849984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 209 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 354891849984 in words is "three hundred fifty-four billion, eight hundred ninety-one million, eight hundred forty-nine thousand, nine hundred eighty-four".