150491654390016 has 567 divisors, whose sum is σ = 457818249654759. Its totient is φ = 49349518811136.

The previous prime is 150491654389963. The next prime is 150491654390071. The reversal of 150491654390016 is 610093456194051.

The square root of 150491654390016 is 12267504.

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

150491654390016 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 9 + 1 + 6 + 543 + 90 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6551552160000 + 143940102230016 = 2559600^2 + 11997504^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 386868005950 + ... + 386868006338.

Almost surely, 2^{150491654390016} is an apocalyptic number.

150491654390016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

150491654390016 is the 12267504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150491654390016

150491654390016 is an abundant number, since it is smaller than the sum of its proper divisors (307326595264743).

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

150491654390016 is an frugal number, since it uses more digits than its factorization.

150491654390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 150491654390016 in words is "one hundred fifty trillion, four hundred ninety-one billion, six hundred fifty-four million, three hundred ninety thousand, sixteen".