38153120544 has 1152 divisors, whose sum is σ = 154581073920. Its totient is φ = 8622028800.

The previous prime is 38153120543. The next prime is 38153120591. The reversal of 38153120544 is 44502135183.

38153120544 is a `hidden beast` number, since 3 + 81 + 5 + 31 + 2 + 0 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38153120499 and 38153120508.

It is not an unprimeable number, because it can be changed into a prime (38153120543) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 300418209 + ... + 300418335.

It is an arithmetic number, because the mean of its divisors is an integer number (134184960).

Almost surely, 2^38153120544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38153120544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77290536960).

38153120544 is an abundant number, since it is smaller than the sum of its proper divisors (116427953376).

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

38153120544 is a wasteful number, since it uses less digits than its factorization.

38153120544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 38153120544 in words is "thirty-eight billion, one hundred fifty-three million, one hundred twenty thousand, five hundred forty-four".