82733018517954 has 72 divisors (see below), whose sum is σ = 211033276337520. Its totient is φ = 23353210025712.

The previous prime is 82733018517859. The next prime is 82733018517959. The reversal of 82733018517954 is 45971581033728.

It is a happy number.

82733018517954 is a `hidden beast` number, since 8 + 2 + 7 + 330 + 1 + 85 + 179 + 54 = 666.

82733018517954 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82733018517954² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 82733018517891 and 82733018517900.

It is not an unprimeable number, because it can be changed into a prime (82733018517959) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564996724 + ... + 565143135.

It is an arithmetic number, because the mean of its divisors is an integer number (2931017726910).

Almost surely, 2^{82733018517954} is an apocalyptic number.

82733018517954 is an abundant number, since it is smaller than the sum of its proper divisors (128300257819566).

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

82733018517954 is a wasteful number, since it uses less digits than its factorization.

82733018517954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130139964 (or 1130139954 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 82733018517954 in words is "eighty-two trillion, seven hundred thirty-three billion, eighteen million, five hundred seventeen thousand, nine hundred fifty-four".