88526946816 has 720 divisors, whose sum is σ = 335619456480. Its totient is φ = 22783057920.

The previous prime is 88526946811. The next prime is 88526946839. The reversal of 88526946816 is 61864962588.

88526946816 is a `hidden beast` number, since 8 + 8 + 526 + 94 + 6 + 8 + 16 = 666.

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

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

Its product of digits (39813120) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (88526946811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 812173770 + ... + 812173878.

It is an arithmetic number, because the mean of its divisors is an integer number (466138134).

Almost surely, 2^88526946816 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 88526946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167809728240).

88526946816 is an abundant number, since it is smaller than the sum of its proper divisors (247092509664).

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

88526946816 is a wasteful number, since it uses less digits than its factorization.

88526946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 132 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 88526946816 in words is "eighty-eight billion, five hundred twenty-six million, nine hundred forty-six thousand, eight hundred sixteen".