86946318049932 has 288 divisors, whose sum is σ = 259323323051520. Its totient is φ = 24274605450240.

The previous prime is 86946318049931. The next prime is 86946318049949. The reversal of 86946318049932 is 23994081364968.

86946318049932 is a `hidden beast` number, since 8 + 6 + 94 + 6 + 3 + 18 + 0 + 499 + 32 = 666.

It is a super-2 number, since 2×86946318049932² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86946318049931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 599296833 + ... + 599441895.

It is an arithmetic number, because the mean of its divisors is an integer number (900428205040).

Almost surely, 2^{86946318049932} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86946318049932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129661661525760).

86946318049932 is an abundant number, since it is smaller than the sum of its proper divisors (172377005001588).

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

86946318049932 is a wasteful number, since it uses less digits than its factorization.

86946318049932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147293 (or 147288 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 86946318049932 in words is "eighty-six trillion, nine hundred forty-six billion, three hundred eighteen million, forty-nine thousand, nine hundred thirty-two".