801098141616 has 240 divisors, whose sum is σ = 2342468128000. Its totient is φ = 255281725440.

The previous prime is 801098141603. The next prime is 801098141629. The reversal of 801098141616 is 616141890108.

It is a happy number.

801098141616 is a `hidden beast` number, since 8 + 0 + 10 + 9 + 8 + 14 + 1 + 616 = 666.

801098141616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (801098141603) and next prime (801098141629).

It is a super-3 number, since 3×801098141616³ (a number of 37 digits) contains 333 as substring.

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, 291413010 + ... + 291415758.

Almost surely, 2^801098141616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801098141616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171234064000).

801098141616 is an abundant number, since it is smaller than the sum of its proper divisors (1541369986384).

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

801098141616 is a wasteful number, since it uses less digits than its factorization.

801098141616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 801098141616 in words is "eight hundred one billion, ninety-eight million, one hundred forty-one thousand, six hundred sixteen".