81152346400 has 72 divisors (see below), whose sum is σ = 198269380260. Its totient is φ = 32435343360.

The previous prime is 81152346397. The next prime is 81152346427. The reversal of 81152346400 is 464325118.

It can be written as a sum of positive squares in 6 ways, for example, as 19491510544 + 61660835856 = 139612^2 + 248316^2 .

It is a super-3 number, since 3×81152346400³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 991852 + ... + 1070548.

Almost surely, 2^81152346400 is an apocalyptic number.

81152346400 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 81152346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99134690130).

81152346400 is an abundant number, since it is smaller than the sum of its proper divisors (117117033860).

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

81152346400 is a wasteful number, since it uses less digits than its factorization.

81152346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80006 (or 79993 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 81152346400 in words is "eighty-one billion, one hundred fifty-two million, three hundred forty-six thousand, four hundred".