61469466496416 has 144 divisors (see below), whose sum is σ = 191437056091008. Its totient is φ = 18554631782400.

The previous prime is 61469466496411. The next prime is 61469466496433.

61469466496416 is a `hidden beast` number, since 6 + 1 + 4 + 6 + 94 + 6 + 6 + 496 + 41 + 6 = 666.

61469466496416 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×61469466496416² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (61469466496411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36935320 + ... + 38563671.

It is an arithmetic number, because the mean of its divisors is an integer number (1329424000632).

Almost surely, 2^{61469466496416} is an apocalyptic number.

61469466496416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61469466496416 is an abundant number, since it is smaller than the sum of its proper divisors (129967589594592).

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

61469466496416 is a wasteful number, since it uses less digits than its factorization.

61469466496416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75499275 (or 75499264 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 72.

The spelling of 61469466496416 in words is "sixty-one trillion, four hundred sixty-nine billion, four hundred sixty-six million, four hundred ninety-six thousand, four hundred sixteen".