1461800971008 has 504 divisors, whose sum is σ = 5009281082400. Its totient is φ = 416867254272.

The previous prime is 1461800971003. The next prime is 1461800971013. The reversal of 1461800971008 is 8001790081641.

It is a happy number.

1461800971008 is a `hidden beast` number, since 1 + 461 + 80 + 0 + 9 + 7 + 100 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1461800971003) and next prime (1461800971013).

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (1461800971003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1318124758 + ... + 1318125866.

Almost surely, 2^{1461800971008} is an apocalyptic number.

1461800971008 is a gapful number since it is divisible by the number (18) 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 1461800971008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504640541200).

1461800971008 is an abundant number, since it is smaller than the sum of its proper divisors (3547480111392).

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

1461800971008 is an equidigital number, since it uses as much as digits as its factorization.

1461800971008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1461800971008 in words is "one trillion, four hundred sixty-one billion, eight hundred million, nine hundred seventy-one thousand, eight".