1900151250048 has 640 divisors, whose sum is σ = 6070190544000. Its totient is φ = 587962810368.

The previous prime is 1900151250037. The next prime is 1900151250077. The reversal of 1900151250048 is 8400521510091.

1900151250048 is a `hidden beast` number, since 1 + 90 + 0 + 1 + 512 + 50 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×1900151250048² (a number of 25 digits) contains 22 as substring.

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 = 1900151249994 and 1900151250021.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7224909565 + ... + 7224909827.

It is an arithmetic number, because the mean of its divisors is an integer number (9484672725).

Almost surely, 2^{1900151250048} is an apocalyptic number.

1900151250048 is a gapful number since it is divisible by the number (18) 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 1900151250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035095272000).

1900151250048 is an abundant number, since it is smaller than the sum of its proper divisors (4170039293952).

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

1900151250048 is a wasteful number, since it uses less digits than its factorization.

1900151250048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 1900151250048 in words is "one trillion, nine hundred billion, one hundred fifty-one million, two hundred fifty thousand, forty-eight".