11463154560 has 512 divisors, whose sum is σ = 47706624000. Its totient is φ = 2564628480.

The previous prime is 11463154541. The next prime is 11463154567. The reversal of 11463154560 is 6545136411.

11463154560 is a `hidden beast` number, since 1 + 1 + 46 + 3 + 1 + 54 + 560 = 666.

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 (11463154567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2468721 + ... + 2473359.

It is an arithmetic number, because the mean of its divisors is an integer number (93177000).

Almost surely, 2^11463154560 is an apocalyptic number.

11463154560 is a gapful number since it is divisible by the number (10) 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 11463154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23853312000).

11463154560 is an abundant number, since it is smaller than the sum of its proper divisors (36243469440).

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

11463154560 is a wasteful number, since it uses less digits than its factorization.

11463154560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11463154560 in words is "eleven billion, four hundred sixty-three million, one hundred fifty-four thousand, five hundred sixty".