1772149456 has 80 divisors (see below), whose sum is σ = 4506140160. Its totient is φ = 654099840.

The previous prime is 1772149433. The next prime is 1772149459. The reversal of 1772149456 is 6549412771.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1772149459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14446 + ... + 61261.

It is an arithmetic number, because the mean of its divisors is an integer number (56326752).

Almost surely, 2^1772149456 is an apocalyptic number.

1772149456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1772149456 is an abundant number, since it is smaller than the sum of its proper divisors (2733990704).

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

1772149456 is a wasteful number, since it uses less digits than its factorization.

1772149456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75752 (or 75746 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The square root of 1772149456 is about 42096.9055394812. The cubic root of 1772149456 is about 1210.1339596240.

The spelling of 1772149456 in words is "one billion, seven hundred seventy-two million, one hundred forty-nine thousand, four hundred fifty-six".