81149200704 has 392 divisors, whose sum is σ = 283667496672. Its totient is φ = 22697210880.

The previous prime is 81149200687. The next prime is 81149200709. The reversal of 81149200704 is 40700294118.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81149200709) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6665727 + ... + 6677889.

Almost surely, 2^81149200704 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 81149200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141833748336).

81149200704 is an abundant number, since it is smaller than the sum of its proper divisors (202518295968).

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

81149200704 is a wasteful number, since it uses less digits than its factorization.

81149200704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12217 (or 12192 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 81149200704 in words is "eighty-one billion, one hundred forty-nine million, two hundred thousand, seven hundred four".