1901211965082 has 256 divisors, whose sum is σ = 4637083852800. Its totient is φ = 575062824960.

The previous prime is 1901211965077. The next prime is 1901211965087. The reversal of 1901211965082 is 2805691121091.

1901211965082 is a `hidden beast` number, since 1 + 9 + 0 + 121 + 19 + 6 + 508 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1901211965077) and next prime (1901211965087).

It is a super-2 number, since 2×1901211965082² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1901211965087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1865761969 + ... + 1865762987.

It is an arithmetic number, because the mean of its divisors is an integer number (18113608800).

Almost surely, 2^{1901211965082} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1901211965082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318541926400).

1901211965082 is an abundant number, since it is smaller than the sum of its proper divisors (2735871887718).

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

1901211965082 is a wasteful number, since it uses less digits than its factorization.

1901211965082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 1901211965082 in words is "one trillion, nine hundred one billion, two hundred eleven million, nine hundred sixty-five thousand, eighty-two".