88540348464 has 240 divisors, whose sum is σ = 276864868800. Its totient is φ = 26269630464.

The previous prime is 88540348433. The next prime is 88540348469. The reversal of 88540348464 is 46484304588.

It is a happy number.

88540348464 is a `hidden beast` number, since 8 + 8 + 540 + 34 + 8 + 4 + 64 = 666.

It is a super-2 number, since 2×88540348464² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 88540348464.

It is not an unprimeable number, because it can be changed into a prime (88540348469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5002222 + ... + 5019890.

It is an arithmetic number, because the mean of its divisors is an integer number (1153603620).

Almost surely, 2^88540348464 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 88540348464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138432434400).

88540348464 is an abundant number, since it is smaller than the sum of its proper divisors (188324520336).

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

88540348464 is a wasteful number, since it uses less digits than its factorization.

88540348464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17812 (or 17803 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 88540348464 in words is "eighty-eight billion, five hundred forty million, three hundred forty-eight thousand, four hundred sixty-four".