120438149764 has 27 divisors (see below), whose sum is σ = 213783467247. Its totient is φ = 59369169024.

The previous prime is 120438149749. The next prime is 120438149789. The reversal of 120438149764 is 467941834021.

It is a happy number.

The square root of 120438149764 is 347042.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 167909764 + 120270240000 = 12958^2 + 346800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50666944 + ... + 50669320.

Almost surely, 2^120438149764 is an apocalyptic number.

120438149764 is the 347042-nd square number.

It is an amenable number.

120438149764 is a deficient number, since it is larger than the sum of its proper divisors (93345317483).

120438149764 is an frugal number, since it uses more digits than its factorization.

120438149764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 120438149764 by its sum of digits (49), we get a square (5901469338436 = 2429294²).

The spelling of 120438149764 in words is "one hundred twenty billion, four hundred thirty-eight million, one hundred forty-nine thousand, seven hundred sixty-four".