1653145746 has 64 divisors (see below), whose sum is σ = 3963783168. Its totient is φ = 449399808.

The previous prime is 1653145717. The next prime is 1653145763. The reversal of 1653145746 is 6475413561.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1653145698 and 1653145707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182005 + ... + 190871.

It is an arithmetic number, because the mean of its divisors is an integer number (61934112).

Almost surely, 2^1653145746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653145746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981891584).

1653145746 is an abundant number, since it is smaller than the sum of its proper divisors (2310637422).

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

1653145746 is a wasteful number, since it uses less digits than its factorization.

1653145746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9095.

The product of its digits is 302400, while the sum is 42.

The square root of 1653145746 is about 40658.8950415527. The cubic root of 1653145746 is about 1182.4162273357.

It can be divided in two parts, 165 and 3145746, that multiplied together give a triangular number (519048090 = T₃₂₂₁₉).

The spelling of 1653145746 in words is "one billion, six hundred fifty-three million, one hundred forty-five thousand, seven hundred forty-six".