1974145536 has 480 divisors, whose sum is σ = 6894201600. Its totient is φ = 536739840.

The previous prime is 1974145529. The next prime is 1974145561. The reversal of 1974145536 is 6355414791.

1974145536 is a `hidden beast` number, since 1 + 9 + 74 + 1 + 45 + 536 = 666.

Its product of digits (453600) is a multiple of the sum of its prime factors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1974145491 and 1974145500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24989145 + ... + 24989223.

It is an arithmetic number, because the mean of its divisors is an integer number (14362920).

Almost surely, 2^1974145536 is an apocalyptic number.

1974145536 is a gapful number since it is divisible by the number (16) 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 1974145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447100800).

1974145536 is an abundant number, since it is smaller than the sum of its proper divisors (4920056064).

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

1974145536 is a wasteful number, since it uses less digits than its factorization.

1974145536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1974145536 is about 44431.3575754782. The cubic root of 1974145536 is about 1254.4683887815.

The spelling of 1974145536 in words is "one billion, nine hundred seventy-four million, one hundred forty-five thousand, five hundred thirty-six".