61916439690000 has 1125 divisors, whose sum is σ = 260702792587017. Its totient is φ = 14140998144000.

The previous prime is 61916439689957. The next prime is 61916439690029. The reversal of 61916439690000 is 9693461916.

The square root of 61916439690000 is 7868700.

It is a perfect power (a square), and thus also a powerful number.

61916439690000 is a `hidden beast` number, since 6 + 1 + 9 + 164 + 396 + 90 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 52063671146256 + 9852768543744 = 7215516^2 + 3138912^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a super-2 number, since 2×61916439690000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 49572809376 + ... + 49572810624.

Almost surely, 2^{61916439690000} is an apocalyptic number.

61916439690000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61916439690000 is the 7868700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61916439690000

61916439690000 is an abundant number, since it is smaller than the sum of its proper divisors (198786352897017).

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

61916439690000 is an frugal number, since it uses more digits than its factorization.

61916439690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 61916439690000 in words is "sixty-one trillion, nine hundred sixteen billion, four hundred thirty-nine million, six hundred ninety thousand".