1541925216 has 144 divisors (see below), whose sum is σ = 4742796240. Its totient is φ = 472366080.

The previous prime is 1541925197. The next prime is 1541925223. The reversal of 1541925216 is 6125291451.

1541925216 is a `hidden beast` number, since 1 + 5 + 41 + 92 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006371 + ... + 1007901.

It is an arithmetic number, because the mean of its divisors is an integer number (32936085).

Almost surely, 2^1541925216 is an apocalyptic number.

1541925216 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 1541925216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371398120).

1541925216 is an abundant number, since it is smaller than the sum of its proper divisors (3200871024).

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

1541925216 is a wasteful number, since it uses less digits than its factorization.

1541925216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1818 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1541925216 is about 39267.3556023321. The cubic root of 1541925216 is about 1155.2813707028.

The spelling of 1541925216 in words is "one billion, five hundred forty-one million, nine hundred twenty-five thousand, two hundred sixteen".