81463354560 has 672 divisors, whose sum is σ = 336373744320. Its totient is φ = 18505138176.

The previous prime is 81463354559. The next prime is 81463354591. The reversal of 81463354560 is 6545336418.

81463354560 is a `hidden beast` number, since 8 + 1 + 4 + 6 + 33 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81707982 + ... + 81708978.

Almost surely, 2^81463354560 is an apocalyptic number.

81463354560 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 81463354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168186872160).

81463354560 is an abundant number, since it is smaller than the sum of its proper divisors (254910389760).

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

81463354560 is a wasteful number, since it uses less digits than its factorization.

81463354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 81463354560 in words is "eighty-one billion, four hundred sixty-three million, three hundred fifty-four thousand, five hundred sixty".