189747360000 has 1125 divisors, whose sum is σ = 777710627155. Its totient is φ = 45999360000.

The previous prime is 189747359969. The next prime is 189747360017. The reversal of 189747360000 is 63747981.

The square root of 189747360000 is 435600.

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

It can be written as a sum of positive squares in 2 ways, for example, as 14876193024 + 174871166976 = 121968^2 + 418176^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 17249759995 + ... + 17249760005.

Almost surely, 2^189747360000 is an apocalyptic number.

189747360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

189747360000 is the 435600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189747360000

189747360000 is an abundant number, since it is smaller than the sum of its proper divisors (587963267155).

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

189747360000 is an frugal number, since it uses more digits than its factorization.

189747360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 189747360000 in words is "one hundred eighty-nine billion, seven hundred forty-seven million, three hundred sixty thousand".