1961461888416 has 48 divisors (see below), whose sum is σ = 5720930510400. Its totient is φ = 653820629184.

The previous prime is 1961461888409. The next prime is 1961461888429. The reversal of 1961461888416 is 6148881641691.

1961461888416 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 4 + 618 + 8 + 8 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135104396 + ... + 1135106123.

It is an arithmetic number, because the mean of its divisors is an integer number (119186052300).

Almost surely, 2^{1961461888416} is an apocalyptic number.

1961461888416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1961461888416 is an abundant number, since it is smaller than the sum of its proper divisors (3759468621984).

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

1961461888416 is a wasteful number, since it uses less digits than its factorization.

1961461888416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270210538 (or 2270210524 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 63.

The spelling of 1961461888416 in words is "one trillion, nine hundred sixty-one billion, four hundred sixty-one million, eight hundred eighty-eight thousand, four hundred sixteen".