88411461120 has 400 divisors, whose sum is σ = 317637080640. Its totient is φ = 23503896576.

The previous prime is 88411461107. The next prime is 88411461157. The reversal of 88411461120 is 2116411488.

88411461120 is a `hidden beast` number, since 8 + 8 + 4 + 1 + 14 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122964121 + ... + 122964839.

Almost surely, 2^88411461120 is an apocalyptic number.

88411461120 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 88411461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158818540320).

88411461120 is an abundant number, since it is smaller than the sum of its proper divisors (229225619520).

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

88411461120 is an equidigital number, since it uses as much as digits as its factorization.

88411461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 88411461120 in words is "eighty-eight billion, four hundred eleven million, four hundred sixty-one thousand, one hundred twenty".