54645457152 has 288 divisors, whose sum is σ = 180919509120. Its totient is φ = 14385807360.

The previous prime is 54645457123. The next prime is 54645457159. The reversal of 54645457152 is 25175454645.

It is a super-2 number, since 2×54645457152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (54645457159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1852374 + ... + 1881642.

It is an arithmetic number, because the mean of its divisors is an integer number (628192740).

Almost surely, 2^54645457152 is an apocalyptic number.

54645457152 is a gapful number since it is divisible by the number (52) 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 54645457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90459754560).

54645457152 is an abundant number, since it is smaller than the sum of its proper divisors (126274051968).

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

54645457152 is a wasteful number, since it uses less digits than its factorization.

54645457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29329 (or 29315 counting only the distinct ones).

The product of its digits is 3360000, while the sum is 48.

The spelling of 54645457152 in words is "fifty-four billion, six hundred forty-five million, four hundred fifty-seven thousand, one hundred fifty-two".