1474747616160 has 1536 divisors, whose sum is σ = 6651033016320. Its totient is φ = 296878473216.

The previous prime is 1474747616149. The next prime is 1474747616161. The reversal of 1474747616160 is 616167474741.

1474747616160 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 7 + 4 + 7 + 616 + 16 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1474747616097 and 1474747616106.

It is not an unprimeable number, because it can be changed into a prime (1474747616161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 770907364 + ... + 770909276.

It is an arithmetic number, because the mean of its divisors is an integer number (4330099620).

Almost surely, 2^{1474747616160} is an apocalyptic number.

1474747616160 is a gapful number since it is divisible by the number (10) 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 1474747616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325516508160).

1474747616160 is an abundant number, since it is smaller than the sum of its proper divisors (5176285400160).

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

1474747616160 is a wasteful number, since it uses less digits than its factorization.

1474747616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 1474747616160 in words is "one trillion, four hundred seventy-four billion, seven hundred forty-seven million, six hundred sixteen thousand, one hundred sixty".