1937661988416 has 224 divisors, whose sum is σ = 6398090449920. Its totient is φ = 502791014400.

The previous prime is 1937661988411. The next prime is 1937661988417. The reversal of 1937661988416 is 6148891667391.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×1937661988416³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1937661988411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15000586 + ... + 15129206.

Almost surely, 2^{1937661988416} is an apocalyptic number.

1937661988416 is a gapful number since it is divisible by the number (16) 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 1937661988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199045224960).

1937661988416 is an abundant number, since it is smaller than the sum of its proper divisors (4460428461504).

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

1937661988416 is a wasteful number, since it uses less digits than its factorization.

1937661988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129673 (or 129663 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 69.

The spelling of 1937661988416 in words is "one trillion, nine hundred thirty-seven billion, six hundred sixty-one million, nine hundred eighty-eight thousand, four hundred sixteen".