1900611472896 has 240 divisors, whose sum is σ = 5776651520640. Its totient is φ = 599916810240.

The previous prime is 1900611472871. The next prime is 1900611472957. The reversal of 1900611472896 is 6982741160091.

1900611472896 is a `hidden beast` number, since 1 + 90 + 0 + 6 + 1 + 1 + 472 + 89 + 6 = 666.

It is a super-2 number, since 2×1900611472896² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279375031 + ... + 279381833.

It is an arithmetic number, because the mean of its divisors is an integer number (24069381336).

Almost surely, 2^{1900611472896} is an apocalyptic number.

1900611472896 is a gapful number since it is divisible by the number (16) 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 1900611472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888325760320).

1900611472896 is an abundant number, since it is smaller than the sum of its proper divisors (3876040047744).

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

1900611472896 is a wasteful number, since it uses less digits than its factorization.

1900611472896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037 (or 10018 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1900611472896 in words is "one trillion, nine hundred billion, six hundred eleven million, four hundred seventy-two thousand, eight hundred ninety-six".