84617538146560 has 72 divisors (see below), whose sum is σ = 206509700721240. Its totient is φ = 33208392302592.

The previous prime is 84617538146527. The next prime is 84617538146591. The reversal of 84617538146560 is 6564183571648.

It can be written as a sum of positive squares in 4 ways, for example, as 20394111488256 + 64223426658304 = 4515984^2 + 8013952^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 84617538146492 and 84617538146501.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623587365 + ... + 623723044.

It is an arithmetic number, because the mean of its divisors is an integer number (2868190287795).

Almost surely, 2^{84617538146560} is an apocalyptic number.

84617538146560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84617538146560 is an abundant number, since it is smaller than the sum of its proper divisors (121892162574680).

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

84617538146560 is a wasteful number, since it uses less digits than its factorization.

84617538146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247310483 (or 1247310469 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 64.

The spelling of 84617538146560 in words is "eighty-four trillion, six hundred seventeen billion, five hundred thirty-eight million, one hundred forty-six thousand, five hundred sixty".