45533478144 has 432 divisors, whose sum is σ = 159131286720. Its totient is φ = 11416043520.

The previous prime is 45533478077. The next prime is 45533478157. The reversal of 45533478144 is 44187433554.

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

It is a junction number, because it is equal to n+sod(n) for n = 45533478093 and 45533478102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12002712 + ... + 12006504.

It is an arithmetic number, because the mean of its divisors is an integer number (368359460).

Almost surely, 2^45533478144 is an apocalyptic number.

45533478144 is a gapful number since it is divisible by the number (44) 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 45533478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79565643360).

45533478144 is an abundant number, since it is smaller than the sum of its proper divisors (113597808576).

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

45533478144 is a wasteful number, since it uses less digits than its factorization.

45533478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3845 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The spelling of 45533478144 in words is "forty-five billion, five hundred thirty-three million, four hundred seventy-eight thousand, one hundred forty-four".