30446955551376 has 1215 divisors, whose sum is σ = 111590683694217. Its totient is φ = 7723260679680.

The previous prime is 30446955551329. The next prime is 30446955551393. The reversal of 30446955551376 is 67315555964403.

The square root of 30446955551376 is 5517876.

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

30446955551376 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 6 + 9 + 5 + 5 + 551 + 3 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4503987507600 + 25942968043776 = 2122260^2 + 5093424^2 .

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 242 ways as a sum of consecutive naturals, for example, 186791138271 + ... + 186791138433.

Almost surely, 2^{30446955551376} is an apocalyptic number.

30446955551376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30446955551376 is the 5517876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30446955551376

30446955551376 is an abundant number, since it is smaller than the sum of its proper divisors (81143728142841).

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

30446955551376 is a wasteful number, since it uses less digits than its factorization.

30446955551376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 204120000, while the sum is 63.

The spelling of 30446955551376 in words is "thirty trillion, four hundred forty-six billion, nine hundred fifty-five million, five hundred fifty-one thousand, three hundred seventy-six".