1976000918346 has 896 divisors, whose sum is σ = 6227057088000. Its totient is φ = 464178677760.

The previous prime is 1976000918293. The next prime is 1976000918389. The reversal of 1976000918346 is 6438190006791.

1976000918346 is a `hidden beast` number, since 19 + 7 + 600 + 0 + 9 + 18 + 3 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1976000918292 and 1976000918301.

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 2099894236 + ... + 2099895176.

It is an arithmetic number, because the mean of its divisors is an integer number (6949840500).

Almost surely, 2^{1976000918346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1976000918346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113528544000).

1976000918346 is an abundant number, since it is smaller than the sum of its proper divisors (4251056169654).

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

1976000918346 is a wasteful number, since it uses less digits than its factorization.

1976000918346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1976000918346 in words is "one trillion, nine hundred seventy-six billion, nine hundred eighteen thousand, three hundred forty-six".