3138249041550 has 576 divisors, whose sum is σ = 10426892636160. Its totient is φ = 661457664000.

The previous prime is 3138249041527. The next prime is 3138249041561. The reversal of 3138249041550 is 551409428313.

3138249041550 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 2 + 4 + 90 + 4 + 1 + 550 = 666.

3138249041550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3138249041496 and 3138249041505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 172147836 + ... + 172166064.

It is an arithmetic number, because the mean of its divisors is an integer number (18102244160).

Almost surely, 2^{3138249041550} is an apocalyptic number.

3138249041550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138249041550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213446318080).

3138249041550 is an abundant number, since it is smaller than the sum of its proper divisors (7288643594610).

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

3138249041550 is a wasteful number, since it uses less digits than its factorization.

3138249041550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18369 (or 18361 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 3138249041550 in words is "three trillion, one hundred thirty-eight billion, two hundred forty-nine million, forty-one thousand, five hundred fifty".