61201914000 has 80 divisors (see below), whose sum is σ = 197314990080. Its totient is φ = 16320508800.

The previous prime is 61201913989. The next prime is 61201914017. The reversal of 61201914000 is 41910216.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5094160 + ... + 5106159.

It is an arithmetic number, because the mean of its divisors is an integer number (2466437376).

Almost surely, 2^61201914000 is an apocalyptic number.

61201914000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61201914000 is an abundant number, since it is smaller than the sum of its proper divisors (136113076080).

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

61201914000 is a wasteful number, since it uses less digits than its factorization.

61201914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200345 (or 10200329 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 61201914000 in words is "sixty-one billion, two hundred one million, nine hundred fourteen thousand".