73628415981 has 24 divisors (see below), whose sum is σ = 112619403000. Its totient is φ = 46193611776.

The previous prime is 73628415979. The next prime is 73628416003. The reversal of 73628415981 is 18951482637.

73628415981 is a `hidden beast` number, since 7 + 3 + 6 + 2 + 8 + 41 + 598 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31305640356 + 42322775625 = 176934^2 + 205725^2 .

It is not a de Polignac number, because 73628415981 - 2¹ = 73628415979 is a prime.

It is a super-2 number, since 2×73628415981² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73628413981) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2163211 + ... + 2196983.

It is an arithmetic number, because the mean of its divisors is an integer number (4692475125).

Almost surely, 2^73628415981 is an apocalyptic number.

It is an amenable number.

73628415981 is a deficient number, since it is larger than the sum of its proper divisors (38990987019).

73628415981 is a wasteful number, since it uses less digits than its factorization.

73628415981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48045 (or 48042 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 73628415981 in words is "seventy-three billion, six hundred twenty-eight million, four hundred fifteen thousand, nine hundred eighty-one".