972355561416 has 48 divisors (see below), whose sum is σ = 2657623211100. Its totient is φ = 321144953472.

The previous prime is 972355561409. The next prime is 972355561421. The reversal of 972355561416 is 614165553279.

972355561416 is a `hidden beast` number, since 9 + 7 + 2 + 3 + 5 + 5 + 5 + 614 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 965789700516 + 6565860900 = 982746^2 + 81030^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61941411 + ... + 61957106.

Almost surely, 2^972355561416 is an apocalyptic number.

It is an amenable number.

972355561416 is an abundant number, since it is smaller than the sum of its proper divisors (1685267649684).

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

972355561416 is a wasteful number, since it uses less digits than its factorization.

972355561416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123898638 (or 123898631 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 972355561416 in words is "nine hundred seventy-two billion, three hundred fifty-five million, five hundred sixty-one thousand, four hundred sixteen".