1006480972944 has 70 divisors (see below), whose sum is σ = 2923747873926. Its totient is φ = 335493653760.

The previous prime is 1006480972943. The next prime is 1006480972949. The reversal of 1006480972944 is 4492790846001.

1006480972944 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 480 + 9 + 72 + 94 + 4 = 666.

1006480972944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 577429772544 + 429051200400 = 759888^2 + 655020^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1006480972943) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 43133097 + ... + 43156424.

Almost surely, 2^{1006480972944} is an apocalyptic number.

It is an amenable number.

1006480972944 is an abundant number, since it is smaller than the sum of its proper divisors (1917266900982).

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

1006480972944 is an frugal number, since it uses more digits than its factorization.

1006480972944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86289547 (or 86289526 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1006480972944 in words is "one trillion, six billion, four hundred eighty million, nine hundred seventy-two thousand, nine hundred forty-four".