49654144 has 64 divisors (see below), whose sum is σ = 110343600. Its totient is φ = 22118400.

The previous prime is 49654141. The next prime is 49654151. The reversal of 49654144 is 44145694.

49654144 = T₅₇₅₂ + T₅₇₅₃ + T₅₇₅₄.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49654141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40744 + ... + 41944.

Almost surely, 2^49654144 is an apocalyptic number.

49654144 is the 5754-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49654144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55171800).

49654144 is an abundant number, since it is smaller than the sum of its proper divisors (60689456).

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

49654144 is a wasteful number, since it uses less digits than its factorization.

49654144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1239 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 49654144 is about 7046.5696618993. The cubic root of 49654144 is about 367.5517541687.

The spelling of 49654144 in words is "forty-nine million, six hundred fifty-four thousand, one hundred forty-four".