1551344980900 has 405 divisors, whose sum is σ = 4069347231957. Its totient is φ = 512959075200.

The previous prime is 1551344980873. The next prime is 1551344980931. The reversal of 1551344980900 is 90894431551.

It is a happy number.

The square root of 1551344980900 is 1245530.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1522109452644 + 29235528256 = 1233738^2 + 170984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 23154402667 + ... + 23154402733.

Almost surely, 2^{1551344980900} is an apocalyptic number.

1551344980900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1551344980900 is the 1245530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1551344980900

1551344980900 is an abundant number, since it is smaller than the sum of its proper divisors (2518002251057).

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

1551344980900 is an equidigital number, since it uses as much as digits as its factorization.

1551344980900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 1551344980900 by its sum of digits (49), we get a square (76015904064100 = 8718710²).

The spelling of 1551344980900 in words is "one trillion, five hundred fifty-one billion, three hundred forty-four million, nine hundred eighty thousand, nine hundred".