1901012112384 has 528 divisors, whose sum is σ = 6437320444800. Its totient is φ = 488161935360.

The previous prime is 1901012112371. The next prime is 1901012112401. The reversal of 1901012112384 is 4832112101091.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1901012112384² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231572472 + ... + 231580680.

Almost surely, 2^{1901012112384} is an apocalyptic number.

1901012112384 is a gapful number since it is divisible by the number (14) 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 1901012112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218660222400).

1901012112384 is an abundant number, since it is smaller than the sum of its proper divisors (4536308332416).

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

1901012112384 is a wasteful number, since it uses less digits than its factorization.

1901012112384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8350 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 1901012112384 in words is "one trillion, nine hundred one billion, twelve million, one hundred twelve thousand, three hundred eighty-four".