45153723648 has 288 divisors, whose sum is σ = 137452557312. Its totient is φ = 13025689600.

The previous prime is 45153723617. The next prime is 45153723673. The reversal of 45153723648 is 84632735154.

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 = 45153723597 and 45153723606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54599011 + ... + 54599837.

It is an arithmetic number, because the mean of its divisors is an integer number (477265824).

Almost surely, 2^45153723648 is an apocalyptic number.

45153723648 is a gapful number since it is divisible by the number (48) 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 45153723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68726278656).

45153723648 is an abundant number, since it is smaller than the sum of its proper divisors (92298833664).

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

45153723648 is a wasteful number, since it uses less digits than its factorization.

45153723648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1147 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 45153723648 in words is "forty-five billion, one hundred fifty-three million, seven hundred twenty-three thousand, six hundred forty-eight".