1514106972 has 96 divisors (see below), whose sum is σ = 4750179840. Its totient is φ = 407151360.

The previous prime is 1514106949. The next prime is 1514106977. The reversal of 1514106972 is 2796014151.

1514106972 is a `hidden beast` number, since 1 + 514 + 10 + 69 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1514106977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46054 + ... + 71757.

It is an arithmetic number, because the mean of its divisors is an integer number (49481040).

Almost surely, 2^1514106972 is an apocalyptic number.

1514106972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1514106972 is an abundant number, since it is smaller than the sum of its proper divisors (3236072868).

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

1514106972 is a wasteful number, since it uses less digits than its factorization.

1514106972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117848 (or 117840 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1514106972 is about 38911.5274950753. The cubic root of 1514106972 is about 1148.2915961349.

The spelling of 1514106972 in words is "one billion, five hundred fourteen million, one hundred six thousand, nine hundred seventy-two".