88144850640 has 480 divisors, whose sum is σ = 344913424128. Its totient is φ = 18227404800.

The previous prime is 88144850581. The next prime is 88144850641. The reversal of 88144850640 is 4605844188.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 88144850640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88144850641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47363310 + ... + 47365170.

Almost surely, 2^88144850640 is an apocalyptic number.

88144850640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88144850640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172456712064).

88144850640 is an abundant number, since it is smaller than the sum of its proper divisors (256768573488).

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

88144850640 is a wasteful number, since it uses less digits than its factorization.

88144850640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 88144850640 in words is "eighty-eight billion, one hundred forty-four million, eight hundred fifty thousand, six hundred forty".