154561456368 has 360 divisors, whose sum is σ = 510112402800. Its totient is φ = 45217751040.

The previous prime is 154561456331. The next prime is 154561456393. The reversal of 154561456368 is 863654165451.

154561456368 is a `hidden beast` number, since 1 + 5 + 4 + 5 + 6 + 14 + 563 + 68 = 666.

154561456368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13637328 + ... + 13648656.

Almost surely, 2^154561456368 is an apocalyptic number.

154561456368 is a gapful number since it is divisible by the number (18) 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 154561456368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255056201400).

154561456368 is an abundant number, since it is smaller than the sum of its proper divisors (355550946432).

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

154561456368 is a wasteful number, since it uses less digits than its factorization.

154561456368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11403 (or 11374 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 154561456368 in words is "one hundred fifty-four billion, five hundred sixty-one million, four hundred fifty-six thousand, three hundred sixty-eight".