1901631312 has 240 divisors, whose sum is σ = 6319401088. Its totient is φ = 522547200.

The previous prime is 1901631311. The next prime is 1901631313. The reversal of 1901631312 is 2131361091.

1901631312 is a `hidden beast` number, since 19 + 0 + 1 + 631 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1901631311) and next prime (1901631313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901631311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3163812 + ... + 3164412.

Almost surely, 2^1901631312 is an apocalyptic number.

1901631312 is a gapful number since it is divisible by the number (12) 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 1901631312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159700544).

1901631312 is an abundant number, since it is smaller than the sum of its proper divisors (4417769776).

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

1901631312 is a wasteful number, since it uses less digits than its factorization.

1901631312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1901631312 is about 43607.6978525581. The cubic root of 1901631312 is about 1238.9166986854.

The spelling of 1901631312 in words is "one billion, nine hundred one million, six hundred thirty-one thousand, three hundred twelve".